N\'eel and singlet RVB orders in the t-J model

TL;DR

This paper investigates the coexistence and temperature-dependent behavior of Nel and singlet RVB magnetic orders in the 2D t-J model using mean-field theory, revealing complex phase interactions.

Contribution

It introduces a mean-field analysis of Nel and RVB orders in the t-J model, highlighting their coexistence and temperature-dependent properties.

Findings

Nel order peaks at finite temperature and vanishes at lower temperatures for certain doping levels

Nel and RVB orders coexist at low temperatures

Coexistence suggests possible link to superconducting order

Abstract

The N\'eel and the singlet RVB orders of the {\it t-J} model in a 2D square lattice are studied in the slave-boson mean-field approximation. It is shown that the N\'eel order parameter takes the maximum value at the finite temperature and disappear at the lower temperature for a certain range of doping. It is also shown that the N\'eel and the singlet RVB orders coexist at low temperature. This suggests the possibility of the coexistence of the N\'eel and the superconducting orders.